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NeutroAlgebra & AntiAlgebra vs. Classical Algebra [PDF]

Transactions on Fuzzy Sets and Systems, 2022
NeutroAlgebra $\&$ AntiAlgebra vs‎. ‎Classical Algebra is a like Realism vs‎. ‎Idealism‎. ‎Classical Algebra does not leave room for partially true axioms nor partially well-defined operations‎. ‎Our world is full of indeterminate (unclear‎, ‎conflicting‎
Florentin Smarandache
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Real Examples of NeutroGeometry & AntiGeometry [PDF]

Neutrosophic Sets and Systems, 2023
For the classical Geometry, in a geometrical space, all items (concepts, axioms, theorems, etc.) are totally (100%) true. But, in the real world, many items are not totally true. The NeutroGeometry is a geometrical space that has some items that are only
Florentin Smarandache
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Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures [PDF]

Journal of Fuzzy Extension and Applications, 2020
In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are ...
Florentin Smarandache
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Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) [PDF]

Neutrosophic Sets and Systems, 2020
: In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a ...
Florentin Smarandache
doaj   +1 more source